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We find necessary and sufficient conditions for gauge invariance of the action of Double Field Theory (DFT) as well as closure of the algebra of gauge symmetries. The so-called weak and strong constraints are sufficient to satisfy them, but…

High Energy Physics - Theory · Physics 2012-04-24 Mariana Graña , Diego Marques

The $\alpha'$-deformed frame-like Double Field Theory (DFT) is a T-duality and gauge invariant extension of DFT in which generalized Green-Schwarz transformations provide a gauge principle that fixes the higher-derivative corrections. It…

High Energy Physics - Theory · Physics 2017-05-24 Walter H. Baron , Jose J. Fernandez-Melgarejo , Diego Marques , Carmen Nunez

Double Field Theory (DFT) is a low-energy effective theory of a manifestly $O(D,D)$ invariant formulation of the closed string theory when toroidally compactified dimensions are present. The theory is based on a doubled spacetime structure…

High Energy Physics - Theory · Physics 2017-04-05 Chen-Te Ma , Franco Pezzella

Generalized dualities had an intriguing incursion into Double Field Theory (DFT) in terms of local $O(d,d)$ transformations. We review this idea and use the higher derivative formulation of DFT to compute the first order corrections to…

High Energy Physics - Theory · Physics 2020-10-06 Tomas Codina , Diego Marques

Double Field Theory is a manifestly T-duality invariant formulation of string theory in which the effective theory at any order of $\alpha'$ is invariant under global $O(D,D)$ transformations and ought to be invariant under gauge…

High Energy Physics - Theory · Physics 2018-09-19 Mohammad R. Garousi

It is known that the order $\alpha'$ correction to the tree-level effective action for the bosonic and heterotic string can be described in the framework of Double Field Theory (DFT). Here we determine the DFT action and transformations at…

High Energy Physics - Theory · Physics 2022-11-30 Stanislav Hronek , Linus Wulff , Salomon Zacarias

In this article we give a calculation of the two-loop $\sigma$-model corrections to the T-duality map in string theory. We use the effective action approach, and analyze two-loop corrections in a specific subtraction scheme. Focusing on…

High Energy Physics - Theory · Physics 2009-10-30 Nemanja Kaloper , Krzysztof Meissner

Double Field Theory (DFT) is an attempt to make the O(d,d) T-duality symmetry of string theory manifest, already before reducing on a d-torus. It is known that supergravity can be formulated in an O(D,D) covariant way, and remarkably this…

High Energy Physics - Theory · Physics 2021-04-21 Stanislav Hronek , Linus Wulff

Double Field Theory (DFT) is a proposal to incorporate T-duality, a distinctive symmetry of string theory, as a symmetry of a field theory defined on a double configuration space. The aim of this review is to provide a pedagogical…

High Energy Physics - Theory · Physics 2013-08-13 Gerardo Aldazabal , Diego Marques , Carmen Nunez

We review recent developments in duality symmetric string theory. We begin with the world sheet doubled formalism which describes strings in an extended space time with extra coordinates conjugate to winding modes. This formalism is…

High Energy Physics - Theory · Physics 2014-12-10 David S. Berman , Daniel C. Thompson

Double field theory and exceptional field theory are formulations of supergravity that make certain dualities manifest symmetries of the action. To achieve this, the geometry is extended by including dual coordinates corresponding to…

High Energy Physics - Theory · Physics 2016-10-12 Felix J. Rudolph

We develop doubled-coordinate field theory to determine the \alpha' corrections to the massless sector of oriented bosonic closed string theory. Our key tool is a string current algebra of free left-handed bosons that makes O(D,D) T-duality…

High Energy Physics - Theory · Physics 2015-06-16 Olaf Hohm , Warren Siegel , Barton Zwiebach

Higher-derivative interactions and transformation rules of the fields in the effective field theories of the massless string states are strongly constrained by space-time symmetries and dualities. Here we use an exact formulation of ten…

High Energy Physics - Theory · Physics 2021-07-28 Eric Lescano , Carmen A. Núñez , Jesús A. Rodríguez

Double Field Theory (DFT) has emerged as a comprehensive framework for gravity, presenting a testable and robust alternative to General Relativity (GR), rooted in the $\mathbf{O}(D,D)$ symmetry principle of string theory. These lecture…

General Relativity and Quantum Cosmology · Physics 2025-10-09 Jeong-Hyuck Park

T-duality has been shown to constrain the higher derivative corrections of string theory. We revisit the problem of understanding the T-duality constraints imposed on the $\alpha'$ corrections using the language of a torsionful connection.…

High Energy Physics - Theory · Physics 2023-03-01 Marina David , James T. Liu

This thesis deals with new backgrounds and concepts in Double Field Theory (DFT), a T-Duality invariant reformulation of supergravity (SUGRA). We begin by reviewing the basic concepts and notions of DFT. Afterwards, we turn to Double Field…

High Energy Physics - Theory · Physics 2017-10-04 Pascal du Bosque

We examine the known Riemann curvature corrections to the supergravity action at order $\alpha'^3$ under the T-duality transformations. Using the compatibility of the action with the linear T-duality and with the S-matrix calculations as…

High Energy Physics - Theory · Physics 2015-06-11 Mohammad R. Garousi

We investigate $\alpha'$ corrections of bosonic strings in the framework of double field theory. The previously introduced "doubled $\alpha'$-geometry" gives $\alpha'$-deformed gauge transformations arising in the Green-Schwarz anomaly…

High Energy Physics - Theory · Physics 2015-06-22 Olaf Hohm , Barton Zwiebach

A global analysis of duality transformations is presented. It is shown that duality between quantum field theories exists only when the geometrical structure of the quantum configuration spaces of the theories comply with certain precise…

High Energy Physics - Theory · Physics 2007-05-23 I. Martin , A. Restuccia

We study exhaustively the solution-generating transformations (dualities) that occur in the context of the low-energy effective action of superstring theory. We first consider target-space duality (``T duality'') transformations in absence…

High Energy Physics - Theory · Physics 2009-10-28 Eric Bergshoeff , Bert Janssen , Tomas Ortin
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